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Distributive Property. Look at the following pair of words. Firefly + Firetruck What do they have in common?. Fire fly + Fire truck What do they have in common? FIRE. So, if you pull out the common part fire what is left? Fly + Truck.

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## Distributive Property

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**Look at the following pair of words.Firefly + FiretruckWhat**do they have in common?**So, if you pull out the common part firewhat is left?Fly +**Truck**1. Look at the following pair of words.Racecar +**RacetrackWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)**2. Look at the following pair of words.Doghouse +**DogboneWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)**3. Look at the following pair of words.Icecream +**IcecubeWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)**4. Look at the following pair of words.Lunchroom +**LunchmoneyWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)**5. Look at the following pair of words.Toothbrush +**ToothpasteWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)**6. Look at the following pair of words.Earring + Earwax**What do they have in common?Write it using the distributive property_______ ( ______ + _______) Gross!**Now let’s think about numbers:**42 + 12 = 6(7 + 2) Is this statement true or false? Explain your thinking.**Now let’s think about numbers:**6(7 + 2) = (6 x 7) + (6 x 2) Is this statement true or false? Explain your thinking.**Now let’s think about numbers:**6(7 + 2) = (6 x 7) + ( 6 x 2) = 42 + 2 Is this statement true or false? Explain your thinking.**Now let’s think about numbers:**6(7 + 2) = (6 x 7) + ( 6 x 2) = 42 + 2 Look at the expression on the left side of the equation. Can you explain the use of the number 6? How is 6 related to 42 and 12?**20 + 30What do they have in common?**2, 5, 10 What is the largest factor in common? 10: it is the GCF We can use 10 to rewrite 20 + 30 using the distributive property.**20 + 30Since 10 is the largest in common, 10 would be**“pulled out” to distribute (just like we did with common words).10 ( __ + __ )**20 + 3010 ( 2 + 3 )**Rewriting the problem in this form is called using the distributive property. The distributive property can help us do mental computation more easily.

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